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Finding the Fourth Proportional to 378,171, 521,875.98 and 208,405.13

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Solution

The fourth proportional to 378,171, 521,875.98 and 208,405.13 is: 287,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,171 : 521,875.98 = 208,405.13 : x
  2. Step 2: Convert to fraction form
    378,171/521,875.98 = 208,405.13/x
  3. Step 3: Cross multiply
    378,171x = 521,875.98 × 208,405.13
  4. Step 4: Simplify right side
    378,171x = 108,761,628,846.40
  5. Step 5: Solve for x
    x = 108,761,628,846.40/378,171
  6. Step 6: Final answer
    x = 287,599.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.